Remarks on control design with degree constraint

Tryphon T. Georgiou, Anders Lindquist

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20 Scopus citations


The purpose of this note is to highlight similarities and differences between two alternative methodologies for feedback control design under constraints on the McMillan degree of the feedback system. Both sets of techniques focus on uniformly optimal designs. The first is based on the work of Gahinet and Apkarian and that of Skelton et al., while the other is based on earlier joint work of the authors with C. I. Byrnes.

Original languageEnglish (US)
Pages (from-to)1150-1156
Number of pages7
JournalIEEE Transactions on Automatic Control
Issue number7
StatePublished - Jul 2006

Bibliographical note

Funding Information:
Manuscript received April 14, 2005; revised December 2, 2005. Recommended by Associate Editor M. Kothare. This work was supported by grants from the AFOSR, the NSF, VR, and the Göran Gustafsson Foundation. T. T. Georgiou is with the Department of Electrical Engineering, University of Minnesota, Minneapolis, MN 55455 USA (e-mail: A. Lindquist is with the Department of Mathematics, Division of Optimization and Systems Theory, Royal Institute of Technology, 100 44 Stockholm, Sweden (e-mail: Digital Object Identifier 10.1109/TAC.2006.878751


  • H control
  • Linear matrix inequalities (LMIs)
  • McMillan degree constraint
  • Weighted entropy


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